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242243141330 = 252947711931297
BaseRepresentation
bin1110000110011011010…
…0001111111011010010
3212011021100012121102102
43201212310033323102
512432103221010310
6303141315120402
723334003504311
oct3414664177322
9764240177372
10242243141330
1193809a35553
123ab468a3102
1319ac70296a8
14ba2055a278
15647bd4a8a5
hex3866d0fed2

242243141330 has 128 divisors (see below), whose sum is σ = 469941626880. Its totient is φ = 89738772480.

The previous prime is 242243141321. The next prime is 242243141347. The reversal of 242243141330 is 33141342242.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 242243141293 and 242243141302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186771242 + ... + 186772538.

It is an arithmetic number, because the mean of its divisors is an integer number (3671418960).

Almost surely, 2242243141330 is an apocalyptic number.

242243141330 is a deficient number, since it is larger than the sum of its proper divisors (227698485550).

242243141330 is a wasteful number, since it uses less digits than its factorization.

242243141330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 242243141330 its reverse (33141342242), we get a palindrome (275384483572).

The spelling of 242243141330 in words is "two hundred forty-two billion, two hundred forty-three million, one hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 29 47 58 71 94 142 145 193 235 290 355 386 470 710 965 1297 1363 1930 2059 2594 2726 3337 4118 5597 6485 6674 6815 9071 10295 11194 12970 13630 13703 16685 18142 20590 27406 27985 33370 37613 45355 55970 60959 68515 75226 90710 92087 96773 121918 137030 184174 188065 193546 250321 263059 304795 376130 397387 460435 483865 500642 526118 609590 644041 794774 920870 967730 1251605 1288082 1315295 1767811 1986935 2503210 2630590 2670523 3220205 3535622 3973870 4328089 5341046 6440410 7259309 8656178 8839055 11765087 13352615 14518618 17678110 17772791 18677189 21640445 23530174 26705230 35545582 36296545 37354378 43280890 58825435 72593090 88863955 93385945 117650870 125514581 177727910 186771890 251029162 341187523 515410939 627572905 682375046 835321177 1030821878 1255145810 1670642354 1705937615 2577054695 3411875230 4176605885 5154109390 8353211770 24224314133 48448628266 121121570665 242243141330